{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_bnh:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## BNH\n",
    "\n",
    "Binh and Korn defined the following test problem in <cite data-cite=\"bnh\"></cite> with 2 objectives and 2 constraints:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Definition**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation}\n",
    "\\newcommand{\\boldx}{\\mathbf{x}}\n",
    "\\begin{array}\n",
    "\\mbox{Minimize} & f_1(\\boldx) = 4x_1^2 + 4x_2^2, \\\\\n",
    "\\mbox{Minimize} & f_2(\\boldx) = (x_1-5)^2 + (x_2-5)^2,    \\\\\n",
    "\\mbox{subject to} & C_1(\\boldx) \\equiv (x_1-5)^2 + x_2^2 \\leq 25, \\\\\n",
    "& C_2(\\boldx) \\equiv (x_1-8)^2 + (x_2+3)^2 \\geq 7.7, \\\\\n",
    "& 0 \\leq x_1 \\leq 5, \\\\\n",
    "& 0 \\leq x_2 \\leq 3.\n",
    "\\end{array}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Optimum**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Pareto-optimal solutions are constituted by solutions \n",
    "$x_1^{\\ast}=x_2^{\\ast} \\in [0,3]$ and $x_1^{\\ast} \\in [3,5]$,\n",
    "$x_2^{\\ast}=3$. These solutions are marked by using bold \n",
    "continuous\n",
    "curves.  The addition of both constraints in the problem does not make any solution\n",
    "in the unconstrained Pareto-optimal front infeasible. \n",
    "Thus, constraints may not introduce any additional difficulty\n",
    "in solving this problem."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plot**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "code": "usage_problem.py",
    "section": "bnh"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_problem\n",
    "from pymoo.util.plotting import plot\n",
    "\n",
    "problem = get_problem(\"bnh\")\n",
    "plot(problem.pareto_front(), no_fill=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
